An estimate for multivariate interpolation
An estimate of the \(L^ p=L^ p(R^ n)\) norm of a function is given in terms of its values on a (not necessarily regular) grid of points and the \(L^ p\) norms of its k-th order derivatives, \(kp>n\). The result is useful in obtaining estimates for multivariate interpolation schemes; this is illustrated by an example involving generalized splines.
scientific article; zbMATH DE number 3890064
scientific article